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Finding the Fourth Proportional to 280,490, 387,077.63 and 153,165.60

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Solution

The fourth proportional to 280,490, 387,077.63 and 153,165.60 is: 211,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,490 : 387,077.63 = 153,165.60 : x
  2. Step 2: Convert to fraction form
    280,490/387,077.63 = 153,165.60/x
  3. Step 3: Cross multiply
    280,490x = 387,077.63 × 153,165.60
  4. Step 4: Simplify right side
    280,490x = 59,286,977,445.53
  5. Step 5: Solve for x
    x = 59,286,977,445.53/280,490
  6. Step 6: Final answer
    x = 211,369.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.